1011460752 has 60 divisors (see below), whose sum is σ = 2839855564. Its totient is φ = 336061440.

The previous prime is 1011460739. The next prime is 1011460757. The reversal of 1011460752 is 2570641101.

It is a happy number.

1011460752 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 4 + 607 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16941456 + 994519296 = 4116^2 + 31536^2 .

It is a super-3 number, since 3×1011460752³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1011460757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33852 + ... + 56292.

Almost surely, 2^1011460752 is an apocalyptic number.

1011460752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011460752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419927782).

1011460752 is an abundant number, since it is smaller than the sum of its proper divisors (1828394812).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011460752 is a wasteful number, since it uses less digits than its factorization.

1011460752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22768 (or 22759 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1011460752 is about 31803.4707539916. The cubic root of 1011460752 is about 1003.8057485707.

The spelling of 1011460752 in words is "one billion, eleven million, four hundred sixty thousand, seven hundred fifty-two".